Alec Jacobson Teaching Statement
نویسنده
چکیده
My passion for teaching began early. Throughout high school and college, I tutored English to African immigrants. Later, while student teaching remedial and gifted-and-talented mathematics at a New York City public middle school, I realized the diversity of how students learn. Some students thrive off interactive lectures, while others do not fully digest a lecture until working out examples at home. Still others require one-on-one intervention.
منابع مشابه
Alec Jacobson Research Statement Fabricating User Interfaces
I attack from both fronts: I bring ideas from differential geometry and finite-element analysis to model geometric problems more intuitively and more robustly. Meanwhile, I pursue user interfaces to reduce human effort and increase creative or scientific exploration of geometric data. To elaborate on these recurring themes, allow me to share four parallel and complementary branches of investiga...
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By embedding images as surfaces in a high dimensional coordinate space defined by each pixel’s Cartesian coordinates and color values, we directly define and employ cotangent-based, discrete differentialgeometry operators. These operators define discrete energies useful for image segmentation and colorization.
متن کاملConsistently Orienting Facets in Polygon Meshes by Minimizing the Dirichlet Energy of Generalized Winding Numbers
Jacobson et al. [JKSH13] hypothesized that the local coherency of the generalized winding number function proposed in that work could be used to correctly determine consistent facet orientations in polygon meshes. We report on an approach to consistently orienting facets in polygon meshes by minimizing the Dirichlet energy of generalized winding numbers. While the energy can be concisely formul...
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Many recent works attempt to generalize barycentric coordinates to arbitrary polygons. I construct a counterexample proving that no such generalization will produce purely bijective mappings in the plane provided the coordinates meet the Lagrange, reproduction, and partition of unity properties. The proof concerns generalized barycentric coordinates in a square, but trivially generalizes to arb...
متن کاملSIGGRAPH Course 2014 — Skinning: Real-time Shape Deformationart II: Automatic Skinning via Constrained Energy Optimization
The traditional character skinning pipeline is labor intensive. We may break the pipeline into three main steps to see where professional riggers and animators spend the most time, and consequently where modern automatic methods will take over or assist. Let us recall the linear blend skinning formula so we may track how each step affects a character’s deformation (see Figure 1). The new positi...
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