Curve vs GridWeave

'CurveFit' uses regression analysis by the method of least squares to find best fit for a set of data to a selected equation. The curve-fitting technique used in this app is based on regression analysis by the method of least squares. The free version fits a straight line through a data-set using least squares analysis. One In-App purchase is required to fit the other equations to the data set: Straight Line : Y = C0 + C1*X (free) Power Curve : Y = C0 + X^C1 Exponential I : Y = C0 * EXP(C1*X) Exponential II : Y = C0 * X * EXP(C1*X) Hyperbolic : Y = (C0 + C1*X)/(1 - C2*X) Square Root : Y = C0 + C1*SQRT(X) Polynomial : Y = C0 + C1*X + --- + CN*X^N Exponential Poly : Y = C0 * EXP(C1*X + --- + Natural Log : Y = C0 + C1*(LN(X)) + --- + Reciprocal : Y = C0 + C1/X + --- + CN/X^N Most literature deals with least squares analysis for straight lines, 2nd degree polynomials, and functions that can be linearized. The input-data is transformed into a format that the can be put into linear forms with undetermined constants. These types of equations are applicable for least-squares regression. The regression routine is needed for determining values for the set of unknown quantities C1, C2,- - - ,Cm in the equation: Y = C1 x F1(X) + C2 x F2(X) + - - - + Cm x Fm(X) The constants are determined to minimize the sum of squares of the differences between the measured values (Y1, Y2, - - - , Yn) and the predicted equation Yc = F(X) which is found by curve-fitting the given data. The principle of least squares is to find the values for the unknowns C1 through Cm that will minimize the sum of the squares of the residuals: n ∑(ri) = r12 + r22 + - - - + rn2 = minimum i=1 This is done by letting the derivative of the above equation equal zero. Thereby there will be generated as many algebraic equations as given data points, and the number of equations will be larger than unknowns.

GridWeave is a pixel pattern design tool focused on grid-based creation. It helps you turn images and ideas into clear, editable, and printable pixel patterns. Whether you are working on beading, embroidery, or other grid-based crafts, GridWeave provides a stable and intuitive workflow designed for real-world making. Key Features • Precise grid-based design Every grid cell is clearly defined and fully controllable, ensuring a true WYSIWYG editing experience. • Convert images into makeable pixel patterns Transform images into pixel patterns that are suitable for actual crafting, not just visual pixelation. • Multiple grid styles Support for different grid styles to fit various creative needs. • Export print-ready patterns (PDF) Clear grids and color references make patterns easy to print and use for crafting. • Fully local processing All images and patterns are processed locally on your device. No data is uploaded to any server. Use Cases • Beading • Embroidery / Cross-stitch • Perler beads / Pixel crafts • Other grid-based creative work GridWeave is designed to be a clear, reliable, and production-oriented pixel design tool, helping you turn ideas into patterns you can truly make.