EXACUM 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 affine, linear, approximation, functionaffine subspace, transformations, invariant, fractal, transformation, transforms, deformation, scaling, geometry, transform, coordinates, projection, mapping, connection, registration, spaces, parameter, plane, space, linear, motion, functions, models, function, structure, model, groupfractal geometry, scaling, surfaces, structure, image, models, model, space, set, systemsdimensional subspaces, subspace, affine, 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, formalgebraic 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, matrixnonlinear algebraic, mappings, transformations, mapping, models, systems, functions, deformation, function, transformation, parameter, approximation, model, term, system, parameters, mapsubspace projectioncoordinate transformations, geometry, system, transformation, plane, systems, planes, space, mapping, transform, spaces, surfaces, functionsflat 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, usingtransformation matrix, parameterslie flat, algebraicmap projection, coordinates, coordinatesimple algebraic, linear, scaling, geometry, model, approximation, models, transformations, nonlinear, network, form, mapping, dimensionalnetwork connections, connection, models, model, structure, parameters, mappingprojection matrix, plane, planes, coordinates, geometry, map, maps, mapping, systems, transformation, image, system, modelsdual scaling, function, functions, system, structure, linear, registration, systems, space, transformation, imageparameter space, scaling, spaces, model, set, matrix, models, plane, mappingpositive affine, image, linearinvariance under, groupglobal mappings, transformations, network, coordinates, coordinate, connections, basis, transformation, mapping, system, mapclass invariants, structure, invariantmodel parameters, parameter, transformationsimage plane, maps, registration, coordinates, map, planes, transforms, projection, transformationsarbitrary geometry, scaling, coordinate, nonlinear, parameter, functions, function, linear, parameters, plane, combination, positive, matrix, set, basis, surfaces, connectionsdeformation parameter, parameters, maps, map, models, model, underspace coordinates, coordinate, invariantcamera coordinate, coordinates, motion, parameters, image, geometry, systemsparameters parameterusing piecewise, algebraic, fractal, nonlinear, linearapproximation spacesbasis functionsmatrix transforms, transformations, deformation, form, structure, approximationtransform matrix, planeflow mapping, projection, geometry, model, parameters, modelsfunction approximation, mappings, mappingmaps mapregistration form, system, underlocal coordinate, coordinates, invariants, network, deformationgeometry parameters, parameterhull form, structuremotion parametersterm basis, structuregeneral term, linear, algebraicinvariants underunder affinesystem parameterscase basisgap parametersystems usingmodels using