AFFINE

Before
2: SU
under
3: SUU
positive
4: USUU
dimensional
After
1: S
plane, space, group
2: SU
fractal, scaling, transform, mapping, spaces, linear, motion, functions, models, function, structure, model
2: US
transforms, transform
3: SUU
linear
3: USU
projection, connection
4: USUU
geometry, coordinates, parameter
4: UUSU
transformations, transformation, deformation, registration
Surrounder Phrases
invariant subspaces, subspace, under, deformation, plane, linear, systems, transformation, set, parameters, functions, structure, line, system, form, image, function, modelpiecewise linear, approximation, functionfractal geometry, scaling, surfaces, structure, image, models, model, space, set, systemsdimensional subspaces, subspace, space, scaling, geometry, spaces, coordinate, projection, coordinates, structure, nonlinear, models, maps, plane, matrix, model, image, mapping, approximation, parameter, flow, surfaces, map, linear, invariant, deformation, motion, planes, network, transformations, parameters, case, systems, transform, form, flatalgebraic invariants, geometry, transformations, surfaces, functions, structure, models, transformation, form, model, systems, function, variety, systemlinear subspaces, subspace, algebraic, approximation, combination, transformations, mappings, scaling, models, transformation, model, function, mapping, transforms, functions, motion, systems, projection, deformation, transform, geometry, system, maps, map, coordinates, spaces, coordinate, structure, flow, term, parameter, matrix, form, nonlinear, space, parametersnonlinear algebraic, mappings, transformations, mapping, models, systems, functions, deformation, function, transformation, parameter, approximation, model, term, system, parameters, map, structuresubspace projectioncoordinate transformations, geometry, system, transformation, plane, systems, planes, space, mapping, transform, spaces, surfaces, functions, structureflat surfaces, planes, plane, geometry, maps, space, map, projection, spacesscaling parameter, parameters, transformations, functions, function, matrix, transformation, models, modelplane geometry, deformation, surfaces, coordinates, coordinate, projection, motion, approximationmapping coordinates, function, functions, matrix, camera, using, parameter, systemstransformation matrix, parameters, maps, function, geometry, parameterlie flat, algebraic, undermap projection, coordinates, coordinatesimple algebraic, linear, scaling, geometry, model, approximation, models, transformations, nonlinear, network, form, mapping, dimensional, structure, projectionnetwork connections, connection, models, model, structure, parameters, mapping, systems, mapprojection matrix, plane, planes, coordinates, geometry, map, maps, mapping, systems, transformation, image, system, models, modeldual scaling, function, functions, system, structure, linear, registration, systems, space, transformation, imageparameter space, scaling, spaces, model, set, matrix, models, plane, mapping, mapsinvariance under, groupglobal mappings, transformations, network, coordinates, coordinate, connections, basis, transformation, mapping, system, map, scaling, maps, parameters, matrixclass invariants, structure, invariantmodel parameters, parameter, transformations, geometryimage plane, maps, registration, coordinates, map, planes, transforms, projection, transformations, mapping, coordinate, scalingarbitrary geometry, scaling, coordinate, nonlinear, parameter, functions, function, linear, parameters, plane, combination, positive, matrix, set, basis, surfaces, connections, linedeformation parameter, parameters, maps, map, models, model, underspace coordinates, coordinate, invariant, mapping, geometrycamera coordinate, coordinates, motion, parameters, image, geometry, systems, system, modelsparameters parameterusing piecewise, algebraic, fractal, nonlinear, linear, dimensional, dualapproximation spaces, using, functions, spacebasis functionsmatrix transforms, transformations, deformation, form, structure, approximation, transformationtransform matrix, plane, parameterflow mapping, projection, geometry, model, parameters, modelsfunction approximation, mappings, mapping, transforms, parametersmaps mapregistration form, system, under, systemslocal coordinate, coordinates, invariants, network, deformationgeometry parameters, parameter, classpositive image, linearhull form, structuremotion parametersterm basis, structuregeneral term, linear, algebraic, nonlinear, forminvariants undersystem parameters, functionscase basisgap parametersystems usingmodels usingsurfaces usingconnection matrixform partstructure mapping, transformscoordinates using