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A geometric modeling kernel is a solid modeling software component used in computer-aided design (CAD) packages. [ 1 ] [ 2 ] Available modelling kernels include: ACIS is developed and licensed by Spatial Corporation of Dassault Systèmes .
The kernel of a m × n matrix A over a field K is a linear subspace of K n. That is, the kernel of A, the set Null(A), has the following three properties: Null(A) always contains the zero vector, since A0 = 0. If x ∈ Null(A) and y ∈ Null(A), then x + y ∈ Null(A). This follows from the distributivity of matrix multiplication over addition.
If 0 S is the zero element of S, then the kernel of f is its kernel as linear map over the integers, or, equivalently, as additive groups. It is the preimage of the zero ideal {0 S}, which is, the subset of R consisting of all those elements of R that are mapped by f to the element 0 S. The kernel is usually denoted ker f (or a variation). In ...
The 3D ACIS Modeler (ACIS) is a geometric modeling kernel developed by Spatial Corporation (formerly Spatial Technology), part of Dassault Systèmes.ACIS is used by software developers in industries such as computer-aided design, computer-aided manufacturing, computer-aided engineering, architecture, engineering and construction, coordinate-measuring machine, 3D animation, and shipbuilding.
Each is specified by a choice of the function of two variables, that is called the kernel or nucleus of the transform. Some kernels have an associated inverse kernel K − 1 ( u , t ) {\displaystyle K^{-1}(u,t)} which (roughly speaking) yields an inverse transform:
Parasolid is a geometric modeling kernel originally developed by Shape Data Limited, now owned and developed by Siemens Digital Industries Software.It can be licensed by other companies for use in their 3D computer graphics software products.
A chain complex is said to be exact if the image of the (n+1)th map is always equal to the kernel of the nth map. The homology groups of X therefore measure "how far" the chain complex associated to X is from being exact. [7] The reduced homology groups of a chain complex C(X) are defined as homologies of the augmented chain complex [8]
Digital Geometric Kernel (former KernelCAD) is a software development framework and a set of components for enabling 3D computer graphics computer-aided design (3D/CAD) function in Windows applications, developed by DInsight.