Optical images by quadrupole convolution

Claim 2

A machine recognition process for recognizing the shape, location or orientation of an object by determining the linearity in an optical image of the said object in an (x,y) Cartesian coordinate system, comprising steps of: capturing the said optical image in an image field defined in the said (x,y) system, generating an image signal v(x',y') for each point (x',y') in the said image field, deriving a linearity signal L(x,y) for each point (x,y) in the said image field by means of convolution expressed by the following equation: ##EQU8## where Q(x-x',y-y') is the kernel and has the value: Q(x-x',y-y')=1/ ((x-x')+i(y-y')).sup.2

Claim 3

where i is the square root of -1, selecting a certain set of said linearity signals for points in the said image field, and analyzing the said set of linearity signals in view of prestored reference parameters so that the optical image of the object is recognized.

Claim 4

where i is the square root of -1, selecting a certain set of said linearity signals for points in the said image field, and analyzing the said set of linearity signals in view of prestored reference parameters so that the optical image of the object is recognized.

Claim 5

The machine recognition process according to claim 1, wherein: the said step of capturing the said optical image includes a step of scanning the said image field in a raster pattern so that the said image field is made up of a matrix of discrete pixels defined in the said (x,y) system, and the said step of deriving the linearity signal L(x,y) further comprises a step of approximating the convolution by summation with respect to the said discrete pixels by the following equation: ##EQU9##

Claim 6

The machine recognition process according to claim 2, wherein: the said step of deriving the linearity signal L(x,y) further comprises a step of converting parameters between the said cartesian coordinate system and a polar coordinate system, using the following equations: x=r cos θ y=r sin θ

Claim 7

wherein r and θ are polar coordinate values.

Claim 8

wherein r and θ are polar coordinate values.

Claim 9

The machine recognition process according to claim 2, wherein: the said step of selecting a certain set of said linearity signals is being performed as the image field is being scanned.

Claim 10

The machine recognition process according to claim 2, wherein: the said step of selecting a certain set of said linearity signals is being performed according to a predetermined region-of-interest criterion.

Claim 11

The machine recognition process according to claim 2, wherein: the said step of deriving a linearity signal L(x,y) for each point (x,y) in the said image field comprises: generating at each pixel a physical process which obeys Laplace's equation in two dimensions expressed by the following equation: ##EQU10## where Q(x-x',y-y') is the kernel.

Claim 12

The machine recognition process according to claim 6, wherein: the said physical process is the conduction of electricity in a resistive sheet.

Claim 13

The machine recognition process according to claim 6, wherein: the said physical process is the conduction of heat in a heat conductive sheet.

Claim 14

The machine recognition process according to claim 6, wherein: the said physical process is the deformation of a membrane.

Claim 15

An image recognition apparatus for recognizing the shape, location or orientation of an object by determining the linearity in an optical image of the said object in an (x,y) cartesian coordinate system, comprising: image means for optically capturing the said optical image in an image field defined in the said (x,y) system, image signal means for generating an image signal v(x',y') for each point (x',y') in the said image field, linearity signal means for deriving a linearity signal L(x,y) for each point (x,y) in the said image field by means of convolution expressed by the following equation: ##EQU11## where Q(x-x',y-y') is the kernel and has the value: Q(x-x',y-y')=1/ ((x-x')+i(y-y')).sup.2

Claim 16

An image recognition apparatus for recognizing the shape, location or orientation of an object by determining the linearity in an optical image of the said object in an (x,y) cartesian coordinate system, comprising: image means for optically capturing the said optical image in an image field defined in the said (x,y) system, image signal means for generating an image signal v(x',y') for each point (x',y') in the said image field, linearity signal means for deriving a linearity signal L(x,y) for each point (x,y) in the said image field by means of convolution expressed by the following equation: ##EQU11## where Q(x-x',y-y') is the kernel and has the value: Q(x-x',y-y')=1/ ((x-x')+i(y-y')).sup.2

Claim 17

where i is the square root of -1, selection means for selecting a certain set of said linearity signals for points in the said image field, and analysis means for analyzing the said set of linearity signals in view of prestored reference parameters so that the optical image of the object is recognized.

Claim 18

where i is the square root of -1, selection means for selecting a certain set of said linearity signals for points in the said image field, and analysis means for analyzing the said set of linearity signals in view of prestored reference parameters so that the optical image of the object is recognized.

Claim 19

The image recognition apparatus for recognizing an object according to claim 10, wherein: the said image means for optically capturing the said optical image includes scanning means for scanning the said image field so that the said image field is made up of a matrix of discrete pixels defined in the said (x,y) system, and the said linearity signal means derives the linearity signal L(x,y) for each pixel located at a point (x,y) in the said image field and further sums the said linearity signals L(x,y) for all the pixels.

Claim 20

The image recognition apparatus according to claim 11, wherein: the said linearity signal means for deriving the linearity signal comprises: Laplace means for generating at each pixel a physical process which obeys Laplace's equation in two dimensions expressed by the following equation: ##EQU12## where Q(x-x',y-y') is the kernel.

Claim 21

The image recognition apparatus according to claim 12, wherein: the said physical process is the conduction of electricity in a resistive sheet.

Claim 22

The image recognition apparatus according to claim 12, wherein: the said physical process is the conduction of heat in a heat conductive sheet.

Claim 23

The image recognition apparatus according to claim 12, wherein: the said physical process is the deformation of a membrane.