Results 81 to 90 of about 938,411 (197)
Abstract We introduce mixed super‐circles, a position‐curvature formulation of the original dynamic 2D super‐helix model. Compared to the latter, purely curvature‐based model – the so‐called chained formulation –, the mixed formulation that we propose here drastically reduces the algorithmic complexity of the solving scheme – from quadratic to quasi ...
Emile Hohnadel +2 more
wiley +1 more source
Parallel Vectors Extraction using Bézier Clipping
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
Formula for Interpolated Newton Expansion (FINE):
This paper introduces the Formula for Interpolated Newton Expansion (FINE),an explicit closed-form representation for computing the n-th term of higher-orderarithmetic sequences, understood as sequences generated by polynomials. The FINEformula is obtained through an algebraic reorganization of the classical Newton–Gregory interpolation formula and is ...
openaire +1 more source
Richard P. Newton Family papers
Correspondence comprises the largest portion of the Papers of the Richard P. Newton Family and documents the daily lives of Richard Newton, Dorothy Speilman Newton, Lillian Boehm, and some of their friends.
Newton, Richard P.
core
We introduce the physically based neural BRDF, a novel continuous representation for material appearance based on neural fields. Our model accurately performs real‐world material reconstruction, generation and editing, while uniquely enhancing the physical accuracy of neural BRDFs via three key aspects: energy conservation, Helmholtz reciprocity and ...
C. Zhou +8 more
wiley +1 more source
Newton's interpolation formula and sums of powers
Newton's interpolation formula and sums of powers Abstract In this manuscript we derive formulas for multifold sums of powers by utilizing Newton's interpolation formula. Furthermore, we provide formulas for multifold sums of powers in terms of Stirling numbers of the second kind and Eulerian numbers.
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The variable fractional-delay (FD) filter structure by Tassart and Depalle performs Lagrange interpolation in an efficient way. We point out that this structure directly corresponds to Newton's interpolation (backward difference) formula, hence we prefer to refer to it as the Newton FD filter.
Lehtinen, Vesa, Renfors, Markku
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Closing Trajectories: Equation‐Free Cyclic Animation via Koopman Surrogates
Abstract Cyclic animation is widely used in computer graphics and interactive content. It supports seamless playback in games, VR, and interactive simulation, where short clips must repeat smoothly over long durations. Converting an observed non‐cyclic trajectory into a seamless loop is challenging because the endpoint states of the observed sequence ...
Shixun Huang +4 more
wiley +1 more source
Abstract We present a fast, robust method for continuous collision detection (CCD) directly between pairs of complex signed distance fields (SDFs). By casting CCD as an alternating spatio‐temporal optimization and driving a small set of smartly sampled surface points along SDF tangent spaces, our approach avoids dense sampling or triangle meshes ...
Rasmus Gabelgaard Nielsen, Kenny Erleben
wiley +1 more source
Success and failure in England's patent system: New evidence from patent applications, 1783–1834
Abstract Our understanding of the relationship between the English patent system and technical change during the industrial revolution is based entirely on the study of successful patents. We address this feature by providing the first study of unsuccessful patent applications in England during the first industrial revolution.
Stephen D. Billington, Joe Lane
wiley +1 more source

