# Biological Geometries

## Documentation for package ‘biogeom’ version 1.5.2

- DESCRIPTION file.

## Help Pages

adjdata | Boundary Data Adjustment of A Polygon
areaGE | Area Calculation for the Gielis Curve Within [0, 2pi)
areaovate | Area Calculation for an Ovate Polygon
bambooleaves | Leaf Boundary Data of _Phyllostachys incarnata_ T. H. Wen (Poaceae: Bambusoideae)
bilat | Measure of the Extent of Bilateral Symmetry of A Polygon
biogeom | Biological Geometries
curveEPE | Drawing the Preston Curve Produced by the the Explicit Preston Equation
curveETE | Drawing the Troscianko Curve Produced by the Explicit Troscianko Equation
curveGE | Drawing the Gielis Curve
curveNRGE | Drawing the Egg Shape Predicted by the Narushin-Romanov-Griffin Equation
curveovate | Drawing the Ovate Leaf-Shape Curve
DEPE | Calculation of the First-Order Derivative of the Explicit Preston Equation
DETE | Calculation of the First-Order Derivative of the Explicit Troscianko Equation
DNRGE | Calculation of the First-Order Derivative of the Narushin-Romanov-Griffin Equation
DSGE | Calculation of the First-Order Derivative of the Simplified Gielis Equation
eggs | Egg Boundary Data of Nine Species of Birds
EPE | Calculation of the Ordinate For an Arbitrary Point on the Preston Curve in the Plane
ETE | Calculation of the Ordinate For an Arbitrary Point on the Troscianko Curve in the Plane
fitAM | Fitting the 2-D Profiles of Apical Meristems
fitEPE | Data-Fitting Function for the Explicit Preston Equation
fitETE | Data-Fitting Function for the Explicit Troscianko Equation
fitGE | Data-Fitting Function for the Gielis Equation
fitGS | Data-Fitting Function for the Geometric Series of Size Distribution Measurements
fitLorenz | Data-Fitting Function for the Rotated and Right-Shifted Lorenz Curve
fitNRGE | Parameter Estimation for the Narushin-Romanov-Griffin Equation
fitovate | Data-Fitting Function for the Ovate Leaf-Shape Equation
fitsigmoid | Data-Fitting Function for the Sigmoid Growth Equation
fitSuper | Data-Fitting Function for the Superellipse Equation
fracdim | Calculation of Fractal Dimension of Lef Veins Based on the Box-Counting Method
GE | Calculation of the Polar Radius of the Gielis Curve
ginkgoseed | Boundary Data of the Side Projections of _Ginkgo biloba_ Seeds
kp | Boundary Data of the Vertical Projections of _Koelreuteria paniculata_ Fruit
LeafSizeDist | Leaf size distribution of _Shibataea chinensis_
lmPE | Parameter Estimation for the Todd-Smart Equation
lmTE | Parameter Estimation for the Troscianko Equation
MbetaE | Modified Beta Equation
MBriereE | Modified Briere Equation
MLRFE | Modified Lobry-Rosso-Flandrois (LRF) Equation
MPerformanceE | Modified Performance Equation
Neocinnamomum | Leaf Boundary Data of Seven Species of _Neocinnamomum_
NRGE | The Narushin-Romanov-Griffin Equation (NRGE)
PE | Calculation of the Abscissa, Ordinate and Distance From the Origin For an Arbitrary Point on the Preston Curve
PlanCoor | Extracts the Planar Coordinates the 2-D Profiles of Apical Meristems
SAMs | Boundary Data of Shoot Apical Meristems
SarabiaE | Sarabia Equation
SCSE | Sarabia-Castillo-Slottje Equation (SCSE)
SHE | Sitthiyot-Holasut Equation
shoots | Height Growth Data of Bamboo Shoots
sigmoid | Sigmoid Growth Equation
starfish | Boundary Data of Eight Sea Stars
SurfaceAreaAM | Calculation of the Lateral Surface Area of an Apical meristem.
SurfaceAreaEPE | Calculation of the Surface Area of An Egg Based on the Explicit Preston Equation
SurfaceAreaETE | Calculation of the Surface Area of An Egg Based on the Explicit Troscianko Equation
SurfaceAreaNRGE | Calculation of the Surface Area of An Egg Based on the Narushin-Romanov-Griffin Equation
SurfaceAreaSGE | Calculation of the Surface Area of An Egg Based on the Simplified Gielis Equation
TE | The Troscianko Equation (TE)
TGE | Calculation of the Polar Radius of the Twin Gielis Curve
TSE | The Todd-Smart Equation (TSE)
veins | Leaf Vein Data of _Michelia compressa_
VolumeAM | Calculation of the Volume of an Apical Meristem.
VolumeEPE | Calculation of the Volume of An Egg Based on the Explicit Preston Equation
VolumeETE | Calculation of the Volume of An Egg Based on the Explicit Troscianko Equation
VolumeNRGE | Calculation of the Volume of An Egg Based on the Narushin-Romanov-Griffin Equation
VolumeSGE | Calculation of the Volume of An Egg Based on the Simplified Gielis Equation
whitespruce | Planar Coordinates of _Picea glauca_ Tree Rings