|
|
|
| United States Patent | 5592939 |
| Link to this page | http://www.wikipatents.com/5592939.html |
| Inventor(s) | Martinelli; Michael A. (58 Wedgemere Ave., Winchester, MA 01890) |
| Abstract | A system for navigating a catheter probe through a body cavity includes a
sensing coil affixed to a distal end of the probe. Magnetic fields are
projected into the body cavity to induce voltage signals in the sensing
coil that are sufficient to describe the orientation and position of the
probe. A set of magnetic coils each generates a substantially uniform
field in a single respective dimension. The orientation angles of the
sensing coil may be determined from known values of the unidirectional
fields and the measured induced voltage signals. Gradient magnetic fields
with components in two dimensions are projected into the body cavity to
induce another group of voltage signals. The geometrical intersection of
constant voltage surfaces developed by certain gradient fields that
produce the measured induced voltage signals is a set of lines on which
the catheter is located. The point of intersection of such lines yields
the positional coordinates. |
|
|
|
Title Information  |
|
|
|
|
|
Drawing from US Patent 5592939 |
|
|
Method and system for navigating a catheter probe |
|
|
|
|
|
| Publication Date |
January 14, 1997 |
|
|
|
|
|
| Filing Date |
June 14, 1995 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Title Information  |
|
|
References  |
|
|
| *references marked with an asterisk below are user-added references |
|
U.S. References |
|
|
| Add a new US reference: |
| | Reference | Relevancy | Comments | Reference | Relevancy | Comments | 3439256
|      Your vote accepted [0 after 0 votes] | | 5425382 Golden 128/899 Jun,1995 |      Your vote accepted [0 after 0 votes] | | 5425367 Shapiro 600/424 Jun,1995 |      Your vote accepted [0 after 0 votes] | | 5253647 Takahashi 600/424 Oct,1993 |      Your vote accepted [0 after 0 votes] | | 5228442 Imran 600/374 Jul,1993 |      Your vote accepted [0 after 0 votes] | | 5211165 Dumoulin 600/410 May,1993 |      Your vote accepted [0 after 0 votes] | | 5187475 Wagener 340/870.32 Feb,1993 |      Your vote accepted [0 after 0 votes] | | 4905698 Strohl, Jr. 600/424 Mar,1990 |      Your vote accepted [0 after 0 votes] | | 4905698 Strohl, Jr. 600/424 Mar,1990 |      Your vote accepted [0 after 0 votes] | | 4849692 Blood 324/207.26 Jul,1989 |      Your vote accepted [0 after 0 votes] | | 4821731 Martinelli 600/463 Apr,1989 |      Your vote accepted [0 after 0 votes] | | 4719419 Dawley 324/207.22 Jan,1988 |      Your vote accepted [0 after 0 votes] | | 4642786 Hansen 702/153 Feb,1987 |      Your vote accepted [0 after 0 votes] | | 4584577 Temple 340/870.32 Apr,1986 |      Your vote accepted [0 after 0 votes] | | 4422041 Lienau 324/207.23 Dec,1983 |      Your vote accepted [0 after 0 votes] | | 4339953 Iwasaki 73/654 Jul,1982 |      Your vote accepted [0 after 0 votes] | | 4317078 Weed 324/207.26 Feb,1982 |      Your vote accepted [0 after 0 votes] | | 4173228 Van Steenwyk 600/409 Nov,1979 |      Your vote accepted [0 after 0 votes] | | 3868565 Kuipers 324/207.26 Feb,1975 |      Your vote accepted [0 after 0 votes] | | 3674014 Tillander 600/434 Jul,1972 |      Your vote accepted [0 after 0 votes] | | |
|
|
|
|
U.S. References |
|
|
Foreign References |
|
|
|
|
|
|
Foreign References |
|
|
Other References |
|
|
|
|
|
|
Other References |
|
|
|
|
|
References  |
|
|
|
|
|
| Market Size |
|
Estimate the gross annual revenues of the relevant market
sector:
|
| | |
| |
|
|
| Market Share |
|
Estimate the percentage of the relevant market sector this invention will capture:
|
| | |
| |
|
|
| Reasonable Royalty |
|
What percentage of gross sales should the inventor or assignee be paid?
|
| | |
| |
|
|
|
Public's "Guesstimation" of Royalty Value
|
| Market Size | N/A | [No votes] | | x | Market Share | N/A | [No votes] | | x | Reasonable Royalty | N/A | [No votes] |
| | N/A | |
| |
|
|
|
|
|
|
|
|
|
|
|
|
Market Review  |
|
|
Technical Review  |
|
|
Claims  |
|
|
What is claimed is:
1. A method of determining the location of a magnetically-sensitive,
electrically conductive sensing coil affixed to a distal end of a catheter
probe partially inserted into a body cavity within a navigational domain,
comprising the steps of:
inducing within said sensing coil a set of orientation signal values each
representative of an orientation of said sensing coil and independent of a
position of said sensing coil;
determining the orientation of said sensing coil using said induced
orientation signal values;
inducing within said sensing coil a set of positional signal values each
representative of the position of said sensing coil; and
determining the position of said sensing coil using said positional signal
values and said determined orientation.
2. The method as recited in claim 1, wherein the step of inducing said set
of orientation signal values comprises the steps of:
generating from outside said body a series of magnetic fields each
penetrating at least said navigational domain and characterized
substantially by a principal magnetic component in one axial dimension and
relatively smaller magnetic components in two other axial dimensions.
3. The method as recited in claim 1, wherein the step of inducing said set
of positional signal values comprises the steps of:
generating from outside said body a series of magnetic fields each
penetrating at least said navigational domain and characterized
substantially by two principal gradient magnetic components in respective
axial dimensions and a relatively smaller magnetic components in a third
axial dimension.
4. The method as recited in claim 3, wherein said generating step further
includes the steps of:
generating said fields to provide a plurality of constant signal surfaces
for the sensing coil such that an intersection between two such surfaces
with components in the same axial dimensions produces a line along which
said sensing coil is located;
wherein said two such surfaces are identified from among said plurality of
constant signal surfaces by their ability to induce one of said positional
signal values.
5. The method as recited in claim 4, further comprises the steps of:
weighting each line in accordance with a signal strength of said
corresponding constant signal surface; and
determining an intersection of said weighted lines.
6. The method as recited in claim 5, wherein six constant signal surfaces
are generated to produce three intersection lines.
7. A system for determining the location of a magnetically-sensitive,
electrically conductive sensing coil affixed to a distal end of a catheter
probe partially inserted into a body cavity within a navigational domain,
comprising:
first transmit means for projecting into said navigational domain magnetic
energy that is sufficient to induce signal values within said sensing coil
representative of an orientation of said sensing coil and independent of
the position of said sensing coil;
second transmit means for projecting into said navigational domain magnetic
energy that is sufficient to induce signal values within said sensing coil
representative of the position of said sensing coil; and
analysis means, coupled to said first transmit means and said second
transmit means, for determining the position and orientation of said
sensing coil from said induced signal values.
8. A system for determining the location of a magnetically-sensitive,
electrically conductive sensing coil affixed to a distal end of a catheter
probe partially inserted into a body cavity within a navigational domain,
comprising:
first signal-inducing means for inducing within said sensing coil
orientation signals that are representative of the orientation of said
sensing coil;
analysis means, coupled to said first signal-inducing means, for
determining the orientation of said sensing coil using said induced
orientation signals and independent from a position of said sensing coil;
second signal-inducing means for inducing within said sensing coil position
signals that are representative of the position of said sensing coil; and
analysis means, coupled to said second signal-inducing means, for
determining the position of said sensing coil using said determined
orientation and said induced position signals.
9. The system as recited in claim 8, wherein the first signal-inducing
means comprises:
field generation means for successively generating magnetic field patterns
projected into said navigational domain, each characterized substantially
by a principal magnetic field component in one direction and relatively
smaller magnetic components in two other directions.
10. The system as recited in claim 9, wherein said field generation means
comprises a set of magnetic coils.
11. The system as recited in claim 10, wherein said magnetic coils are
disposed in a planar top of an examination deck upon which a patient is
disposed during a surgical procedure.
12. The system as recited in claim 10, wherein said magnetic coils are
disposed in a planar top and in rail members edge supported by said planar
top for an examination deck upon which a patient is disposed during a
surgical procedure.
13. The system as recited in claim 8, wherein the second signal-inducing
means comprises:
field generation means for successively generating magnetic field patterns
each characterized by a first and second gradient field component in
respective directions and a relatively smaller third component in another
direction.
14. The system as recited in claim 13, wherein the field generation means
comprises a magnetic coil assembly.
15. A method of determining the location of a magnetically-sensitive,
electrically conductive sensing coil affixed to a distal end of a catheter
probe partially inserted into a body cavity within a navigational domain,
comprising the steps of:
defining the location of said sensing coil with a set of independent
location parameters; and
sequentially generating within said navigational domain a sequence of
magnetic fields for inducing within said sensing coil a corresponding
sequence of induced signals each defined by an induced signal expression
that functionally relates said induced signal to certain ones of said
location parameters, such that said set of location parameters is
determinable by sequentially solving individual signal expression groups
each including certain ones of said induced signal expressions and
sufficient to represent a subset of said location parameters.
16. The method as recited in claim 15, wherein said sequence of magnetic
fields comprises:
a series of unidirectional magnetic fields each characterized substantially
by a principal magnetic field component in one direction and relatively
smaller magnetic components in two other directions; and
a series of gradient magnetic fields each characterized by a first and
second gradient field component in respective directions and a relatively
smaller third component in another direction.
17. The method as recited in claim 16, wherein said signal expression
groups include:
an orientation group including induced signal expressions each functionally
related to a respective one of said unidirectional magnetic fields and an
orientation of said sensing coil, and independent of a position of said
sensing coil; and
a position group including induced signal expressions each functionally
related to a respective one of said gradient magnetic fields, the
orientation of said sensing coil, and the position of said sensing coil.
18. The method as recited in claim 17, wherein the step of sequentially
solving said individual signal expression groups includes the steps of:
initially solving the induced signal expressions of said orientation group;
and
next solving the induced signal expressions of said position group.
19. A system for determining the location of a magnetically-sensitive,
electrically conductive sensing coil affixed to a distal end of a catheter
probe partially inserted into a body cavity within a navigational domain,
comprising:
means for defining the location of said sensing coil with a set of
independent location parameters; and
field generation means for sequentially generating within said navigational
domain a sequence of magnetic fields for inducing within said sensing coil
a corresponding sequence of induced signals each defined by an induced
signal expression that functionally relates said induced signal to certain
ones of said location parameters, such that said set of location
parameters is determinable by sequentially solving individual signal
expression groups each including certain ones of said induced signal
expressions and sufficient to represent a subset of said location
parameters.
20. The system as recited in claim 19, wherein said sequence of magnetic
fields comprises:
a series of unidirectional magnetic fields each characterized substantially
by a principal magnetic field component in one direction and relatively
smaller magnetic components in two other directions; and
a series of gradient magnetic fields each characterized by a first and
second gradient field component in respective directions and a relatively
smaller third component in another direction.
21. The system as recited in claim 20, wherein said signal expression
groups include:
an orientation group including induced signal expressions each functionally
related to a respective one of said unidirectional magnetic fields and an
orientation of said sensing coil, and independent of a position of said
sensing coil; and
a position group including induced signal expressions each functionally
related to a respective one of said gradient magnetic fields, the
orientation of said sensing coil, and the position of said sensing coil.
22. The system as recited in claim 21, wherein said field generation means
comprises:
analysis means for solving the induced signal expressions of said
orientation group; and
analysis means for solving the induced signal expressions of said position
group. |
|
|
|
|
Claims  |
|
|
Description  |
|
|
FIELD OF THE INVENTION
The present invention relates to catheter navigation systems and, more
particularly, to a method and system for determining the position and
orientation of a catheter probe being used during a surgical procedure.
BACKGROUND OF THE INVENTION
Various configurations have been proposed to guide and detect a catheter
probe through the internal spaces of a patient undergoing a surgical
procedure. These proposed configurations are characterized by several
alternative approaches including, inter alia, procedures for solving
equations to determine unknown location parameters, the generation and
detection of magnetic fields, and the use of sensing devices affixed to
the catheter probe.
U.S. Pat. No. 4,905,698 to Strohl, Jr. et al. discloses a locator device
external to a subject for generating an electromagnetic field that
projects into the subject. A catheter inserted into the subject is fitted
with a sensing coil at its distal end. The phase of the voltage that is
induced in the coil in response to the field is compared to the phase of
the generated field. When an in-phase condition occurs, this is an
indication that the locator is behind the coil; alternatively, an
out-of-phase condition indicates that the locator is beyond the coil.
Positions intermediate these two rough approximations of the coil position
are not determined other than by a beeping indicator that signifies that
this intermediate positioning has been reached.
U.S. Pat. No. 4,821,731 to Martinelli et al. discloses an electroacoustical
transducer means secured to the distal end of a catheter that is inserted
into a subject for generating acoustical pulses that propagate along an
imaging axis and reflect from an anatomical area of interest. The acoustic
echoes are converted by the transducer means into electrical signals
representative of an image of the anatomical area under reflection and the
relative position of the transducer means and angular orientation of the
sensing/imaging axis.
U.S. Pat. No. 4,642,786 to Hansen discloses a magnetic position and
orientation measurement system that determines the location of an object
in space with various configurations, each characterized by the attachment
of a retransmitter to the object consisting of passive resonant circuits.
The retransmitter is in a predetermined position and orientation with
respect to the object. A magnetic field is generated at a resonant
frequency of the retransmitter which then retransmits a magnetic field for
subsequent reception. The position and orientation of the object may be
calculated based upon the induced signals as developed by the reception of
the retransmitted magnetic field. The original transmission and reception
may be implemented with an integrated transceiver, separate transmitter
and receiver elements, or a single transmitter and an array of receiver
coils.
U.S. Pat. No. 4,317,078 to Weed et al. discloses how the location of a
magnetically sensitive element may be determined by moving a magnetic
field source along specified reference axes to induce signals in the
sensor so as to identify a set of null points representative of certain
flux linkage values. The null point locations are used to calculate the
sensor position.
U.S. Pat. No. 3,868,565 describes a system where a magnetic field is
generated which rotates about a known pointing vector. The generated field
is sensed along at least two axes by a sensor attached to the object to be
located or tracked. Based upon the relationship between the sensed
magnetic field components, the position of the object relative to the
pointing vector can be computed.
U.S. Pat. No. 4,173,228 to Van Steenwyk et al. discloses a catheter
locating system that includes a sensor attached to the distal end of the
catheter. An electromagnetic field is projected into the body cavity with
magnetic probe coils. The field is detected by the sensor, which generates
an induced signal whose magnitude and phase are representative of field
strength, separation of sensor and probe coils, and relative orientation
of sensor and probe coils. The probe coil undergoes linear and rotational
movement to identify orientations and locations of the probe coil where
minima and maxima occur in the measured signal induced in the sensor. This
information is representative of the position and orientation of the
sensor.
U.S. Pat. No. 5,211,165 to Dumoulin et al. discloses a modified catheter
device that includes a small RF transmit coil attached to its distal end.
The transmit coil is driven by an RF source to create an electromagnetic
field that induces electrical signals in an array of receive coils
distributed around a region of interest. Alternatively, the receive coils
can be placed on the invasive device and the transmit coils are
distributed outside the patient. A minimum of one transmit coil and three
receive coils is necessary to precisely determine the location of the
invasive device. A series of equations is developed to solve for the
unknowns x-y-z-.phi.-.theta..
PCT Application No. WO94/04938 to Bladen et al. describes how the location
and orientation of a single sensing coil may be determined from induced
signals developed in response to a sequence of applied magnetic fields
emanating from three groups of field generators each including three
mutually orthogonal coils.
The positioning methodology developed by Bladen et al. involves calculating
the distance from the sensing coil to each group of field generators as a
function of the induced voltage developed in the sensing coil by the field
generator. The distance calculation is used to define the radius of a
sphere centered on the respective field generator. The intersection (i.e.,
overlap) of the spheres is used to calculate an estimate of the sensor
position, using the spherical radius extending from the known location of
the field generators as the estimate for each generator.
The orientation algorithm of Bladen et al. develops general equations for
induced voltage including the entire set of unknown variables (x-y-z
location and .phi.-.theta. orientation). The algorithm specifically solves
for the orientation parameters by substituting the measured induced
voltage and the computed x-y-z coordinates into the general induced
voltage equation, and then reduces the equations to the unknown variables
.phi.-.theta..
In an alternative orientation algorithm described by Bladen et al., the
induced voltage is treated as a vector quantity, allowing the angle
between the magnetic field at the generator and the radial vector joining
the sensor to the generator to be calculated with a dot product
computation. The angle between the radial vector and the sensor axis can
be determined from the computed field angle using the dipole equations
that define the generator fields. This sensor angle and the radial
position as determined by the position algorithm together define the
sensor position for use in the alternative orientation algorithm. These
values are used to compute the angular orientation .phi. and .theta..
OBJECTS OF THE INVENTION
It is a general object of the present invention to obviate the above-noted
and other disadvantages of the prior art.
It is a more specific object of the present invention to provide a catheter
navigation system capable of determining the location of a catheter probe.
It is a further object of the present invention to develop a catheter
navigation system employing a sensing coil affixed to the end of a
catheter probe for generating induced voltage signals that are sufficient
to describe the position and orientation of the sensing coil.
It is a further object of the present invention to develop a methodology
for generating magnetic fields that are sufficient to create a series of
soluble mathematical expressions describing the position and orientation
of the sensing coil.
SUMMARY OF THE INVENTION
In one aspect of the present invention, an improved method of determining
the location of a magnetically-sensitive, electrically conductive sensing
coil affixed to a distal end of a catheter probe partially inserted into a
body cavity within a navigational domain comprises the steps of:
inducing within said sensing coil a set of orientation signal values each
representative of an orientation of said sensing coil and independent of a
position of said sensing coil;
determining the orientation of said sensing coil using said induced
orientation signal values;
inducing within said sensing coil a set of positional signal values each
representative of the position of said sensing coil; and
determining the position of said sensing coil using said positional signal
values and said determined orientation.
In another aspect of the present invention, an improved system for
determining the location of a magnetically-sensitive, electrically
conductive sensing coil affixed to a distal end of a catheter probe
partially inserted into a body cavity within a navigational domain
comprises:
first transmit means for projecting into said navigational domain magnetic
energy that is sufficient to induce signal values within said sensing coil
representative of an orientation of said sensing coil and independent of
the position of said sensing coil;
second transmit means for projecting into said navigational domain magnetic
energy that is sufficient to induce signal values within said sensing coil
representative of the position of said sensing coil; and
analysis means, coupled to said first transmit means and said second
transmit means, for determining the position and orientation of said
sensing coil from said induced signal values.
In another aspect of the present invention, an improved method of
determining the location of a magnetically-sensitive, electrically
conductive sensing coil affixed to a distal end of a catheter probe
partially inserted into a body cavity within a navigational domain
comprises the steps of:
defining the location of said sensing coil with a set of independent
location parameters; and
sequentially generating within said navigational domain a sequence of
magnetic fields for inducing within said sensing coil a corresponding
sequence of induced signals each defined by an induced signal expression
that functionally relates said induced signal to certain ones of said
location parameters, such that said set of location parameters is
determinable by sequentially solving individual signal expression groups
each including certain ones of said induced signal expressions and
sufficient to represent a subset of said location parameters.
BRIEF DESCRIPTION OF THE DRAWINGS
FIG. 1 schematically illustrates a perspective view of a patient-supporting
examination deck in accordance with a preferred embodiment of the present
invention;
FIGS. 2A-C schematically illustrate a series of magnetic coil sets for
generating uniform fields in the x-, y-, and z-directions, respectively,
in accordance with a preferred embodiment of the present invention, and
which are configured within the deck of FIG. 1;
FIGS. 3 schematically illustrates a magnetic coil assembly for determining
the positional coordinates of the sensing coil in accordance with a
preferred embodiment of the present invention, and which is configured
within the deck of FIG. 1;
FIG. 4 is a flow diagram describing the location algorithm in accordance
with the present invention;
FIG. 5 schematically depicts the magnetic coil assembly of FIG. 3 to
illustrate representative field patterns generated during an excitation
period;
FIG. 6 is a trace representatively illustrating surfaces of constant signal
from the sensing coil, as generated by the magnetic assembly of FIG. 3;
FIG. 7 shows an upper plan schematic view of the magnetic assembly of FIG.
3;
FIG. 8 schematically illustrates a perspective view of a patient-supporting
examination deck in accordance with another embodiment of the present
invention; and
FIGS. 9A-D schematically illustrate a series of magnetic coil assemblies
configured in the deck and rails of FIG. 8 for determining the orientation
and position of the sensing coil in accordance with another embodiment of
the present invention.
Throughout the drawings the same or similar elements are identified by the
same reference numeral.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
The present invention is directed to a method and system for determining
the location of a catheter or endoscopic probe inserted into a selected
body cavity of a patient undergoing a surgical procedure. The location
data is obtained from electrical measurements of voltage signals that are
induced within a sensing coil affixed to the distal end of the catheter
probe. These induced voltage signals are generated by the sensing coil in
response to prespecified electromagnetic fields that project into the
anatomical region of interest which contains all prospective locations of
the catheters probe. The electrical measurements of the induced signals
provide sufficient information to compute the angular orientation and the
positional coordinates of the sensing coil, and hence the catheter probe,
which collectively define the location of the sensing coil. The present
invention is operative as the patient is disposed on a patient-supporting
examination deck.
As used herein, "sensing coil" refers to an electrically conductive,
magnetically sensitive element that is responsive to time-dependent
magnetic fields for generating induced voltage signals as a function of
and representative of the applied time-dependent magnetic field. The
sensing coil is adaptable for secure engagement to the distal end of a
catheter probe.
As used herein, "navigational domain" refers to a fully enclosed spatial
region whose internal volume substantially encloses the complete
prospective range of movement of the sensing coil. The navigational domain
may be defined by any geometrical space but preferably takes the form of a
spherical volume. Under surgical operating conditions, the navigational
domain will correspond to an anatomical region of the recumbent patient
where surgical viewing or investigation is desired (e.g., a diseased area
of tissue or an organ).
As used herein, "last navigational point" (hereinafter "the LNP") refers to
the most recently determined location of the sensing coil before another
iteration of the location algorithm is performed.
As used herein, "uniform field" refers to a magnetic field having a large
magnetic field component in a specified axial dimension and relatively
smaller magnetic field components in the other axial dimensions, and
characterized by substantially uniform field values throughout the
navigational domain. In the x-y-z coordinate system used herein, where the
uniform fields of interest are the x-directed, y-directed, and z-directed
fields, the induced voltage signals developed by such fields in the
sensing coil are designated V.sub.x, V.sub.y and V.sub.z, respectively.
The term "undirectional field" is used interchangeably with "uniform
field" when appropriate.
As used herein, "undirectional coils" refer to a magnetic assembly that is
operative to generate a uniform field (as defined above) within the
navigational domain. A distinct magnetic assembly is employed for each
uniform field. Although the unidirectional coils described herein are
preferably implemented with a collection of appropriately designed
magnetic coils, this implementation should not be construed as a
limitation of the present invention. Rather, the unidirectional coils may
be constructed from any magnetic configuration that is sufficient to
generate the uniform fields.
As used herein, "gradient field" refers to a time-dependent magnetic field
having non-zero field components (i.e., components with a high spatial
gradient) in two of the three axial dimensions for the coordinate system
of interest (e.g., x-y-z system), and a substantially zero component in
the remaining axial dimension. For mathematical purposes, a substantially
zero component is generated when its value is small compared to the net
vector resulting from the other two field components.
As used herein, "constant signal surface" or "constant voltage surface"
refers to a surface contour along which at every possible point of
location for the sensing coil the same induced voltage is developed in the
sensing coil.
As used herein, "delta coils" refer to a magnetic assembly for generating a
gradient field (as defined above) within the navigational domain. As will
become more apparent hereinafter, the delta coils will typically be
described in the context of delta coil pairs including a long coil set and
a short coil set each generating gradient fields with components in the
same axial dimensions but whose magnetic field patterns are different.
Each of the long and short coil sets may be considered to generate a
family of constant signal or constant voltage surfaces from the sensing
coil within the navigational domain. Although the delta coils are
preferably implemented with an array of appropriately designed magnetic
coils (discussed below), this preferred implementation should not serve as
a limitation of the present invention as it should be apparent to those
skilled in the art that other magnetic configurations may be used to
adequately generate the gradient fields.
As used herein, "magnetic look-up-table" (alternatively referenced as "the
LUT") refers to a database including the magnetic field values at every
x-y-z coordinate position within the navigational domain for the
unidirectional coils and delta coils used by the present invention.
Accordingly, input data consisting of an x-y-z coordinate and a magnetic
field identifier, which designates a selected magnetic coil assembly, is
indexed within the database to a corresponding set of magnetic field
values constituting the output data. For the x-y-z coordinate system, the
output data is represented by the magnetic field variables H.sub.x H.sub.y
H.sub.z where the subscript indicates the axial dimension along which the
magnetic field value is being reported. The database is created through a
computational analysis of the magnetic field patterns generated by the
magnetic coil configurations used herein. The mathematical model to
develop the necessary formulae defining the field patterns may be
developed, for example, from near field electromagnetic theory. An
instructive text for facilitating such an analysis is "Field and Wave
Electromagnetics" 2nd edition Addison Wesley (1989) by D. K. Cheng, herein
incorporated by reference. The database may be stored in any type of
facility including, inter alia, read-only memory, firmware, optical
storage, or other types of computer storage. Additionally, the database
information may be organized into any type of format such as a
spreadsheet. It should be apparent to those skilled in the art that any
suitable technique may be used to ascertain or record the magnetic field
values for the magnetic coil assemblies used herein.
Separation of Variables Methodology
The mathematical construct underlying the present invention is a
methodology termed separation of variables. In accordance with this
methodology, appropriate equations are developed to isolate unknown
variables in such a manner that renders the equations uniquely soluble.
There are five unknown variables (.phi.-.theta.-x-y-z) that define the
location and orientation of the sensing coil. A typical approach to
solving for these variables would be to develop a series of coupled
| | |