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Pages
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Posts
Data exploration using Mapper
Published:
I am currently working on a paper to build a new mathematical technique for Topological Data Analysis. I used this technique to build a TDA mapper tool. This post is to give basic intuition about the mapper. Mapper is used to get a higher-level understanding of the structure of the data. It is used to visualize the shape of the data in higher dimensions. Given a mapper representation of $3$D point cloud (Points are uniformly distributed) belongs to a set of animals (horse, lion, cat, camel, elephant, flamingo). Each ball in the mapper represents a cluster and the edge between balls implies common points between corresponding clusters (intuition not definition of the mapper).
Sentence Classification using CNN
Published:
ABSTRACT
Convolution Neural Networks are typically used in computer vision problems like image classification. Most of the computer vision systems todays at its core are based on CNNs from photo tagging to self driving cars. However we are going to look at the application of CNNs in NLP(Natural Language Processing).
publications
Continuous Toolpath Planning in a Graphical Framework for Sparse Infill Additive Manufacturing
Published in Computer-Aided Design, 2020
In this paper we have developed a framework for layer by layer 3d printing, based on euler transformation approach, we developed in our previous work.
Recommended citation: Prashant Gupta, Bala Krishnamoorthy, Gregory Dreifus. (2020). "Continuous Toolpath Planning in a Graphical Framework for Sparse Infill Additive Manufacturing." Computer-Aided Design. 1(1) https://doi.org/10.1016/j.cad.2020.102880
Euler Transformation of Polyhedral Complexes
Published in International Journal of Computational Geometry & Applications, 2021
We have developed an Euler Transformation algorithm that transforms an arbitrary planar graph $G$(i.e in $R^2$) to a planar graph $\hat{G}=(\hat{V}, \hat{E})$ where every vertex in $\hat{V}$ has even degree. We have shown that this transformation preserve geometry and topology of the domain. Further, we also proved that mesh quality of $\hat{G}$ is at most a constant factor off from the quality of $G$. As an immediate next step, we will extend the Euler transformation algorithm to arbitrary graph in $R^3$.
Recommended citation: Prashant Gupta, Bala Krishnamoorthy. (2021). "Euler Transformation of Polyhedral Complexes." International Journal of Computational Geometry & Applications. 1(1) https://www.worldscientific.com/doi/abs/10.1142/S0218195920500090
SFCDecomp: Multicriteria Optimized Tool Path Planning in 3D Printing using Space-Filling Curve Based Domain Decomposition
Published in International Journal of Computational Geometry & Applications, 2022
Space Filling Curve Based Graph Partitioning Approach for Non-Metric Lawn Mowing And 3D Printing Problems
Recommended citation: Prashant Gupta, Yiran Guo, Narasimha Boddeti, Bala Krishnamoorthy. (2022). "SFCDecomp: Multicriteria Optimized Tool Path Planning in 3D Printing using Space-Filling Curve Based Domain Decomposition." International Journal of Computational Geometry & Applications. 1(1) https://doi.org/10.1142/S0218195921500096
talks
Continuous Toolpath Planning in a Graphical Framework for Sparse Infill Additive Manufacturing
Published:
Our work was accepted in Symposium Of Solid And Physical Modeling 2020. This talk was given in the symposium.