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Paper Citation Record · LEDGER

On a progressive and iterative approximation method with memory for least square fitting

As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:1908.06417.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.06417 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:55:51.641661Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

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External citation measurements

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Outbound references

Observation 27879e3c-4bda-48b6-a4e1-f44521de6e1e · outbound

This paper cites The NURBS book.

On a progressive and iterative approximation method with memory for least square fitting The NURBS book

Reference 1

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Observation bc988010-b36e-4efa-8aff-cead481ea65f · outbound

This paper cites Handbook of computer aided geometric design.

On a progressive and iterative approximation method with memory for least square fitting Handbook of computer aided geometric design

Reference 2

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Observation 61ffa51a-8208-4c21-8eb0-cf562aca4228 · outbound

This paper cites Total least squares fitting of bezier and b-spline curves to ordered data.

On a progressive and iterative approximation method with memory for least square fitting Total least squares fitting of bezier and b-spline curves to ordered data

Reference 3

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Observation 21ddd17c-befe-4c3b-8dd3-f6db2d0af8d7 · outbound

This paper cites Fitting b-spline curves to point clouds by curvature-based squared distance minimization.

On a progressive and iterative approximation method with memory for least square fitting Fitting b-spline curves to point clouds by curvature-based squared distance minimization

Reference 4

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Observation 7609da86-3db6-4297-9352-125978363042 · outbound

This paper cites B-spline surface fitting by it- erative geometric interpolation/approximation algorithms.

On a progressive and iterative approximation method with memory for least square fitting B-spline surface fitting by it- erative geometric interpolation/approximation algorithms

Reference 5

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Observation af1c6db6-9beb-43ba-b93a-c2d55ad872c2 · outbound

This paper cites An efficient method for fitting large data sets using T-splines.

On a progressive and iterative approximation method with memory for least square fitting An efficient method for fitting large data sets using T-splines

Reference 6

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Observation a01c887b-603f-4a8a-a474-f36e5f3724f8 · outbound

This paper cites Progressive and iterative approximation for least squares B-spline curve and surface fitting.

On a progressive and iterative approximation method with memory for least square fitting Progressive and iterative approximation for least squares B-spline curve and surface fitting

Reference 7

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Observation d3e29278-0328-425e-9f66-af1f575b0f74 · outbound

This paper cites Elitist clonal selection algorithm for optimal choice of free knots in b-spline data fitting.

On a progressive and iterative approximation method with memory for least square fitting Elitist clonal selection algorithm for optimal choice of free knots in b-spline data fitting

Reference 8

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Observation d7487489-2456-4235-94f3-cdc966c1cc7c · outbound

This paper cites Least square geometric iterative fitting method for generalized B-spline curves with two different kinds of weights.

On a progressive and iterative approximation method with memory for least square fitting Least square geometric iterative fitting method for generalized B-spline curves with two different kinds of weights

Reference 9

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Observation 1175531e-f69d-49ca-89bd-f177ea5134d3 · outbound

This paper cites The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix.

On a progressive and iterative approximation method with memory for least square fitting The Convergence of Least-Squares Progressive Iterative Approximation with Singular Iterative Matrix

Reference 10

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Source-reported events for the cited work

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Observation 74d08122-8a45-4333-bf32-221669b99339 · outbound

This paper cites Shape modeling based on specifying the initial b-spline curve and scaled bfgs optimization method.

On a progressive and iterative approximation method with memory for least square fitting Shape modeling based on specifying the initial b-spline curve and scaled bfgs optimization method

Reference 11

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Observation a4feec0c-49b1-421c-a8ad-4379c5fbd528 · outbound

This paper cites Survey on geometric iterative methods and their applications.

On a progressive and iterative approximation method with memory for least square fitting Survey on geometric iterative methods and their applications

Reference 12

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This paper cites Progressive iterative approximation for regularized least square bivariate B-spline surface fitting.

On a progressive and iterative approximation method with memory for least square fitting Progressive iterative approximation for regularized least square bivariate B-spline surface fitting

Reference 13

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Observation ab35ea7d-492a-462b-b6f4-0f47413c9792 · outbound

This paper cites Parameterizing and extending trimmed regions for tensor-product surface fitting.

On a progressive and iterative approximation method with memory for least square fitting Parameterizing and extending trimmed regions for tensor-product surface fitting

Reference 14

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Observation da965c7e-61e1-4ed6-98e1-1e27ea3a466c · outbound

This paper cites Totally positive bases and progressive iteration approximation.

On a progressive and iterative approximation method with memory for least square fitting Totally positive bases and progressive iteration approximation

Reference 15

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Observation 4b211ead-f673-4154-956d-6a5dfaa220d0 · outbound

This paper cites The convergence of the geometric interpolation algorithm.

On a progressive and iterative approximation method with memory for least square fitting The convergence of the geometric interpolation algorithm

Reference 16

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Observation bc554099-bee4-42ab-a7b4-0cfac7c42886 · outbound

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On a progressive and iterative approximation method with memory for least square fitting Interpolation by geometric algo- rithm

Reference 17

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Observation a9340da7-c6c2-4d25-a826-d9219741aba4 · outbound

This paper cites How does Agee’s smoothing method work? Proceedings of the 1979 army numerical analysis and computers conference, ARO report 1979;79-3:299–302.

On a progressive and iterative approximation method with memory for least square fitting How does Agee’s smoothing method work? Proceedings of the 1979 army numerical analysis and computers conference, ARO report 1979;79-3:299–302

Reference 18

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Observation 31337ac9-3ecc-404a-b8da-b12cf6e0d208 · outbound

This paper cites The method of numeric polish in curve fitting.

On a progressive and iterative approximation method with memory for least square fitting The method of numeric polish in curve fitting

Reference 19

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On a progressive and iterative approximation method with memory for least square fitting A method of designing free surfaces by computer display (1st report)

Reference 20

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On a progressive and iterative approximation method with memory for least square fitting Convexity of rational curves and total positivity

Reference 21

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On a progressive and iterative approximation method with memory for least square fitting A shape preserving representation with a evaluation algorithm of linear complexity

Reference 22

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On a progressive and iterative approximation method with memory for least square fitting Constructing iterative non-uniform B- spline curve and surface to fit data points

Reference 23

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Observation 9e68c3c3-75a6-491a-b00d-f4d420bd3979 · outbound

This paper cites Weighted progressive iteration approximation and convergence analysis.

On a progressive and iterative approximation method with memory for least square fitting Weighted progressive iteration approximation and convergence analysis

Reference 24

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Observation 1a5fb987-3b93-43c4-9b67-04512c4c90ce · outbound

This paper cites An extended iterative format for the progressive- iteration approximation.

On a progressive and iterative approximation method with memory for least square fitting An extended iterative format for the progressive- iteration approximation

Reference 25

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Source-reported events for the cited work

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On a progressive and iterative approximation method with memory for least square fitting An iterative algorithm of NURBS interpolation and approximation

Reference 26

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Observation 52e2da71-542c-41b3-9202-7c75709da65b · outbound

This paper cites Local progressive-iterative approximation format for blending curves and patches.

On a progressive and iterative approximation method with memory for least square fitting Local progressive-iterative approximation format for blending curves and patches

Reference 27

Resolution
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On a progressive and iterative approximation method with memory for least square fitting Progressive iterative approximation for triangular B´ ezier surfaces

Reference 28

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Observation ea5f0dee-65e7-475e-89db-bef5f6d3493c · outbound

This paper cites An iterative algorithm for polynomial approximation of rational triangular B´ ezier surfaces.

On a progressive and iterative approximation method with memory for least square fitting An iterative algorithm for polynomial approximation of rational triangular B´ ezier surfaces

Reference 29

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Observation e75381a9-0410-47e6-959f-4d81d427f076 · outbound

This paper cites Loop subdivision surface based progressive interpolation.

On a progressive and iterative approximation method with memory for least square fitting Loop subdivision surface based progressive interpolation

Reference 30

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Source-reported events for the cited work

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On a progressive and iterative approximation method with memory for least square fitting Weighted progressive interpolation of Loop subdivi- sion surfaces

Reference 31

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Observation b6a1f753-db51-446c-8d79-e7dd3191afd7 · outbound

This paper cites Progressive interpolation based on Catmull-Clark subdivision surfaces.

On a progressive and iterative approximation method with memory for least square fitting Progressive interpolation based on Catmull-Clark subdivision surfaces

Reference 32

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On a progressive and iterative approximation method with memory for least square fitting Subdivision based interpolation with shape control

Reference 33

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Source-reported events for the cited work

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On a progressive and iterative approximation method with memory for least square fitting Least squares cubic spline approximation I-Fixed knots

Reference 34

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On a progressive and iterative approximation method with memory for least square fitting Iterative solution of large linear systems

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:55:51.783650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:55:51.630095Z digest=sha256:fb009344485df261a672b5233b1a485052d6c9b7cbe82f48c34b6936857a35e2

Observation 8d98d2d8-c413-49bd-925d-443ad2bac7c6 · outbound

This paper cites On polya frequency functions.

On a progressive and iterative approximation method with memory for least square fitting On polya frequency functions

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:55:51.759564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:55:51.641661Z digest=sha256:3dee80f36c630e164fe1ff03132e71063b634c476392c85c18494ef4920b7c55

Pith citing papers

No inbound Pith citation observations are available.