s2-tools/dist/proj4/projections/mill.d.ts

A collection of geospatial tools primarily designed for WGS84, Web Mercator, and S2.

import { ProjectionBase } from '.';
import type { VectorPoint } from '../../geometry';
import type { ProjectionParams, ProjectionTransform } from '.';
/**
 * # Miller Cylindrical
 *
 * The Miller cylindrical projection is a modified Mercator projection, proposed by
 * Osborn Maitland Miller in 1942.
 *
 * **Classification**: Neither conformal nor equal area cylindrical
 *
 * **Available forms**: Forward and inverse spherical
 *
 * **Defined area**: Global, but best used near the equator
 *
 * **Alias**: mill
 *
 * **Domain**: 2D
 *
 * **Input type**: Geodetic coordinates
 *
 * **Output type**: Projected coordinates
 *
 * ## Projection String
 * ```
 * +proj=mill
 * ```
 *
 * ## Required Parameters
 * - None
 *
 * ## Optional Parameters
 * - `+lon_0`: Longitude of projection center. Defaults to `0`.
 * - `+R`: Radius of the sphere.
 * - `+x_0`: False easting. Defaults to `0`.
 * - `+y_0`: False northing. Defaults to `0`.
 *
 * ## Usage Example
 * Using Central meridian 90°W:
 * ```bash
 * $ echo -100 35 | proj +proj=mill +lon_0=90w
 * -1113194.91      4061217.24
 * ```
 *
 * ## Mathematical Definition
 * ### Forward projection:
 * ```
 * x = \lambda
 * y = 1.25 * \ln \left[ \tan \left(\frac{\pi}{4} + 0.4 * \phi \right) \right]
 * ```
 * ### Inverse projection:
 * ```
 * \lambda = x
 * \phi = 2.5 * ( \arctan \left[ e^{0.8 * y} \right] - \frac{\pi}{4} )
 * ```
 *
 * ## Further reading
 * - [Wikipedia on Miller Cylindrical](https://en.wikipedia.org/wiki/Miller_cylindrical_projection)
 * - "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder, The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355.
 *
 * ![Miller Cylindrical](https://github.com/Open-S2/s2-tools/blob/master/assets/proj4/projections/images/mill.png?raw=true)
 */
export declare class MillerCylindrical extends ProjectionBase implements ProjectionTransform {
    name: string;
    static names: string[];
    /**
     * Preps an MillerCylindrical projection
     * @param params - projection specific parameters
     */
    constructor(params?: ProjectionParams);
    /**
     * MillerCylindrical forward equations--mapping lon-lat to x-y
     * @param p - lon-lat WGS84 point
     */
    forward(p: VectorPoint): void;
    /**
     * MillerCylindrical inverse equations--mapping x-y to lon-lat
     * @param p - MillerCylindrical point
     */
    inverse(p: VectorPoint): void;
}
//# sourceMappingURL=mill.d.ts.map