Simulation of Wave Propagation
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Efficient Minimum Distance Computation for Solids of Revolution
(2020)We present a highly efficient algorithm for computing the minimum distance between two solids of revolution, each of which is defined by a planar crosssection region and a rotation axis. The boundary profile curve for ... 
SurfaceSurfaceIntersection Computation using a Bounding Volume Hierarchy with Osculating Toroidal Patches in the Leaf Nodes
(2022)We present an efficient and robust algorithm for computing the intersection curve of two freeform surfaces using a Bounding Volume Hierarchy (BVH), where the leaf nodes contain osculating toroidal patches. The covering ... 
A Review of a Bspline based Volumetric Representation: Design, Analysis and Fabrication of Porous and/or Heterogeneous Geometries
(2023)The needs of modern (additive) manufacturing (AM) technologies can no longer be satisfied by geometric modeling tools that are based on boundary representations (Breps)  AM requires the representation and manipulation ... 
Implicit Functionally Graded Conforming Microstructures
(2023)The tensor product parametric representations are the most commonly used representation in geometric modeling. Yet, other representations have advantages in certain aspects, and in this work, we focus on employing implicit ... 
Conformal Parametric Microstructure Synthesis for Boundary Representations
(2022)The use of lattices and microstructures in geometric design have been recognized as potentially superior to solid structures due to the potential benefits in improved strengthtoweight ratios, better control over heat ... 
Euclidean Offset and Bisector Approximations of Curves over Freeform Surfaces
(2020)The computation of offset and bisector curves/surfaces has always been considered a challenging problem in geometric modeling and processing. In this work, we investigate a related problem of approximating offsets of ... 
Kernelbased Construction Operators for Boolean Sum and Ruled Geometry
(2023)Boolean sum and ruling are two wellknown construction operators for both parametric surfaces and trivariates. In many cases, the input freeform curves in IR2 or surfaces in IR3 are complex, and as a result, these ... 
Conformal Microstructure Synthesis in Trimmed Trivariate based Vreps
(2021)We present a complete microstructure tiling paradigm for Vrep models, or volumetric models consisting of trimmed trivariates. Existing methods [10] are employed to tile individual primitive tensor product trivariates in ... 
Heterogeneous Parametric Trivariate Fillets
(2021)Blending and filleting are well established operations in solid modeling and computeraided geometric design. The creation of a transition surface which smoothly connects the boundary surfaces of two (or more) objects has ... 
SelfIntersection Computation for Freeform Surfaces Based on a Regional Representation Scheme for Miter Points
(2021)We present an efficient and robust algorithm for computing the selfintersection of a freeform surface, based on a special representation of miter points, using sufficiently small quadrangles in the parameter domain. A ... 
Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches
(2021)We present an efficient algorithm for computing the precise Hausdorff Distance (HD) between two freeform surfaces. The algorithm is based on a hybrid Bounding Volume Hierarchy (BVH), where osculating toroidal patches (stored ... 
Synthesis of 3D jigsaw puzzles over freeform 2manifolds
(2022)We present a simple algorithm for synthesizing 3D jigsaw puzzles from arbitrary 3D freeform 2manifold geometric models represented with trimmed NURBS surfaces. The construction algorithm is based on a few conventional ... 
Fast parallel IGAADS solver for timedependent Maxwell's equations
(202312)We propose a simulator for timedependent Maxwell's equations with linear computational cost. We employ Bspline basis functions as considered in the isogeometric analysis (IGA). We focus on nonstationary Maxwell's equations ... 
Multimodal variational autoencoder for inverse problems in geophysics: application to a 1D magnetotelluric problem
(202312)Estimating subsurface properties from geophysical measurements is a common inverse problem. Several Bayesian methods currently aim to find the solution to a geophysical inverse problem and quantify its uncertainty. However, ... 
Neural network architecture optimization using automated machine learning for borehole resistivity measurements
(202309)Deep neural networks (DNNs) offer a realtime solution for the inversion of borehole resistivity measurements to approximate forward and inverse operators. Using extremely large DNNs to approximate the operators is possible, ... 
Easytoimplement hpadaptivity for nonelliptic goaloriented problems
(20231129)The FEM has become a foundational numerical technique in computational mechanics and civil engineering since its inception by Courant in 1943 Courant1943. Originating from the Ritz method and variational calculus, the FEM ... 
LayerWise Learning Framework for Efficient DNN Deployment in Biomedical Wearable Systems
(202310)The development of lowpower wearable systems requires specialized techniques to accommodate their unique requirements and constraints. While significant advancements have been made in the inference phase of artificial ... 
Importance of methodological choices in data manipulation for validating epileptic seizure detection models
(202307)Epilepsy is a chronic neurological disorder that affects a significant portion of the human population and imposes serious risks in the daily life. Despite advances in machine learning and IoT, small, nonstigmatizing ... 
A Multimodal Dataset for Automatic EdgeAI Cough Detection
(202307)Counting the number of times a patient coughs per day is an essential biomarker in determining treatment efficacy for novel antitussive therapies and personalizing patient care. Automatic cough counting tools must provide ... 
Eventbased sampled ECG morphology reconstruction through selfsimilarity
(20231001)Background and Objective: Eventbased analogtodigital converters allow for sparse biosignal acquisition, enabling local subNyquist sampling frequency. However, aggressive event selection can cause the loss of important ...