Results 41 to 50 of about 2,707 (220)
Traintrack Calabi-Yaus from twistor geometry
Journal of High Energy Physics, 2020 We describe the geometry of the leading singularity locus of the traintrack integral family directly in momentum twistor space. For the two-loop case, known as the elliptic double box, the leading singularity locus is a genus one curve, which we obtain ...
Cristian Vergu, Matthias Volk
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Individualized Pathfinding in Rugged Open Terrains Using Semantic Navigation Meshes
Computer Graphics Forum, EarlyView.We introduce semantic navigation meshes for complex outdoor terrains, partitioning space into regions with coherent semantic properties like slope or vegetation density. The resulting graphs enable efficient pathfinding with agent‐specific, parameterized cost functions without precomputation, accelerating search while maintaining path quality close to ...
C. Creus, N. Pelechano, O. Argudo
wiley +1 more source
Progressive Convex Hull Simplification
Computer Graphics Forum, EarlyView.Abstract Convex hulls are useful as tight bounding proxies for a variety of tasks including collision detection, ray intersection, and distance computation. Unfortunately, the complexity of polyhedral convex hulls grows linearly with their input. We consider the problem of conservatively simplifying a convex hull to a specified number of half‐spaces ...
Alec Jacobson
wiley +1 more source
Birational geometry of quadrics in characteristic 2
, 2008 A conic bundle or quadric bundle in characteristic 2 2 can have generic fiber which is nowhere smooth over the function field of the base variety; in that case, the generic fiber is called a quasilinear quadric.
Burt Totaro
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Injective linear series of algebraic curves on quadrics [PDF]
, 2020 We study linear series on curves inducing injective morphisms to projective space, using zero-dimensional schemes and cohomological vanishings. Albeit projections of curves and their singularities are of central importance in algebraic geometry, basic ...
Ballico, Edoardo +3 more
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Meshing Unsigned Distance Fields with Regular Triangulations
Computer Graphics Forum, EarlyView.Abstract Unsigned distance fields (UDF) are a versatile, implicit representation of geometry. They can represent surfaces that are not bounding a solid or contain points or curves that are not manifold, for example several sheets meeting along a common curve. Contouring the implicit representation, i.e. turning it into an explicit one, requires finding
M. Kohlbrenner, M. Alexa
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Parameter spaces for quadrics [PDF]
, 1996 The parameter spaces for quadrics are reviewed.
Thorup, Anders
core
, 1995 Laermann E, Boyd G, Engels J, et al. HOT RESULTS FROM QUADRICS. In: Nuclear Physics B - Proceedings Supplements. NUCLEAR PHYSICS B. Vol 42. ELSEVIER SCIENCE BV; 1995: 120-126.First results from quenched simulations of QCD at finite temperature on a 128-
Karsch, Frithjof +13 more
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Rational rolling ball blending of natural quadrics
Mathematical Modelling and Analysis, 2000 We construct a blending surface of two natural quadrics using rational variable rolling ball approach, i.e. as a canal surface with a rational spine curve and a rational radius. All general positions of the given quadric surfaces are considered.
K. Karčiauskas, R. Krasauskas
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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