In this paper, we will use the underlying aberration theory of freeform surfaces15 to establish a design methodology from the creation of a starting geometry with the best potential for aberration correction with freeform surfaces to the application of the final freeform terms. Using an F/3, ...
Auser manualcontaining a large number of illustrations and examples is available. Starting from February 2022, the HTML pages of the functions (obtained with m2html) are availablehere. The MatGeom library corresponds to the concatenation of the "geom2d" and "geom3d" libraries that were distribute...
This shouldn't really surprise you since we are dealing with "column-vector" organized matrices, but we will revisit this topic next, so don't worry if this still puzzles you. It's important to use these terms accurately. For example, Maya documentation states, "the matrices are post-...
PxBVH34MidphaseDesc - PxMeshMidPhase::eBVH34is a revisited implementation introduced in PhysX 3.4. It can be significantly faster both in terms of cooking performance and runtime performance, but it is currently only available on platforms supporting the SSE2 instuction set. PxBVH33MidphaseDesc pa...
An incidence geometry is a set of objects, each of some type (e.g., point, line), together with a symmetric binary relation known as incidence. From: Expositiones Mathematicae, 2006 About this pageSet alert Discover other topics On this page Definition Chapters and Articles Related Terms Recom...
meaning “Earth measurement.” Eventually it was realized that geometry need not be limited to the study of flat surfaces (plane geometry) and rigid three-dimensional objects (solid geometry) but that even the most abstract thoughts and images might be represented and developed in geometric terms....
Note that allreleasesare version 0.x, so there areno API or ABI stability guarantees. Starting with 1.0 we will adhere toSemVer. The Python API is particularly unstable, and it is planned that the SWIGged API will be replaced by a pybind11 version with more Pythonic names and more complet...
It is well known that electromagnetic radiation from radiating elements (e.g., antennas, apertures, etc.) shows dependence on the element’s geometry shape in terms of operating frequencies. This basic principle is ubiquitous in the design of radiators i
Let us massage the equations a bit, starting by expanding the squared term: ∫ S ( 1 2 | | ∇ u | | 2 + 1 2 | | ∇ v | | 2 − ∇ u ⋅ ∇ v ⊥ ) d A . We should recognize the first two terms as the Dirichlet energies of u and v . The third term is ...
Anyway, when we can express sk in terms of the basis, this holds also for skλ,skλ2 etc., and we directly get the multiplication matrix Sk which must be a d×d integer matrix. Since we assumed skn=1, the inverse sk−1 is also an algebraic integer and thus Sk−1 is an integ...