Cadastral Reconstruction — Ratz-Nitzav v5

Control Points — נקודות בקרה

Enter known vertices in Old Israel Grid (Cassini-Soldner). These form the framework for all offset calculations.

ℹ️

CSV format: Point_ID, East_Old, North_Old — any delimiter. Download a template to get started.

📌 Known Points

0 points

Point ID

East Old (m)

North Old (m)

East ITM (m)

North ITM (m)

Baseline Definition — קו בסיס

Select a start and end control point to define the baseline from which all offset measurements are taken.

🔵 Select Baseline Points

Start Point (P₁)

End Point (P₂)

📖 Registered Distance D_reg (m) — optional

—

Length D (m)

—

Azimuth (°)

—

Azimuth DMS

—

Bearing (grad)

—

ΔEast (m)

—

ΔNorth (m)

📋 Confirmed Baselines in this Job

#	Start	End	D_calc (m)	D_reg (m)	Δ (m)	Az (°)	Status

Ratz-Nitzav Formula:
E_p = E₁ + (L/D)·(E₂−E₁) + (O/D)·(N₂−N₁)
N_p = N₁ + (L/D)·(N₂−N₁) − (O/D)·(E₂−E₁)
Where D = baseline length · L = running distance · O = offset (+right, −left)

Offset Calculation — חישוב רץ-ניצב

Enter running distance L and offset O for each boundary point. Active baseline shown below.

📏No baseline set — go to Baseline tab first.

🔄 Switch Active Baseline (Fast Select)

#	Start	End	D_calc (m)	D_reg (m)	Δ (m)	Az (°)	Status

📐 Add Boundary Point

Units: Meters Links Cubits

Point ID

Running Distance L (m)

Offset O (+R / −L)

Height Z (opt.)

📋 Boundary Points

0 points

#	Point ID	L	O	Unit	East Old (m)	North Old (m)	East ITM (m)	North ITM (m)	Δ (m)	Baseline
No boundary points yet — define a baseline and add offset points above

Frontage Adjustment — תיאום חזיתות

Compare registered distances from field books with calculated distances. Apply proportional correction within legal tolerance.

⚠️Need at least 2 boundary points (Offset Calc tab) before frontage adjustment.

📏 Frontage Parameters

Frontage Start Point

Frontage End Point

📖 Registered Distance D_reg (m)

D_calc (Computed)

—

⟺

D_reg (Field Book)

—

D_calc (m)

—

D_reg (m)

—

|Difference| (m)

—

Relative Error

Tolerance check

0±0.100 m (Israel Survey Regulations)

📋 Correction History

#	מ' / From	עד / To		D_calc (m)	D_reg (m)	Δ (m)	Pts	Time	עריכה

🔧 Adjusted Points

Point ID	East Old (m)	North Old (m)	East ITM (m)	North ITM (m)	Δ Applied (m)

Affine Transformation — טרנספורמציה אפינית

Enter the New Grid (ITM) coordinates of your control points. The software computes a 6-parameter affine transformation and applies it to all boundary points.

ℹ️

How it works: Enter known E/N coordinates in the New Net (ITM) for each control point. With ≥2 points an affine transformation is solved (6 parameters: scale, rotation, shear, translation in X and Y). With ≥3 points the system is overdetermined and a least-squares fit is applied, reporting residuals per point.

📌 Control Points — New Net Coordinates (ITM)

0 points

Point ID

East Old (m)

North Old (m)

East New (ITM)

North New (ITM)

Enter ITM coordinates in the green columns. Old Grid values are read-only (from Control Points step).

⚙️ Transformation Parameters

Method

Solved Parameters

Residuals at Control Points

Point ID	E_old	N_old	E_new_given	N_new_given	E_new_calc	N_new_calc	vE (m)	vN (m)	‖v‖ (m)

📋 Transformed Boundary Points

Point ID	E_old	N_old	E_new (Affine)	N_new (Affine)	ΔE (m)	ΔN (m)

Map View — מפה

Coordinate map with optional aerial/topo background (ITM only).

DISPLAY: Control Pts Boundary Pts Baseline Polygon Labels

SYSTEM:

Offset Lines (Ratz-Nitzav)

🟢 Control Points (Known) 🔴 Boundary Points (Calculated) 🔵 Baseline 🟠 Boundary Polygon 🟣 Offset Lines (Ratz-Nitzav)

Boundary Points

Control Points

Adjusted Points

0.0000

Max Δ (m)

Export — יצוא נתונים

Download results in multiple formats for use in CAD, GIS, or field records.

⚠️No boundary points to export — calculate offset points first.

📋 Results Table

#	Point ID	East Old (m)	North Old (m)	East ITM (m)	North ITM (m)	Z (m)	Δ (m)	Baseline

💾 Download

ℹ️CSV uses UTF-8 BOM encoding for Excel compatibility. Excel (XLSX) export uses SheetJS library (in-browser). DXF uses AutoCAD 2004 format.

Calculation Log

ℹ️No log entries yet.

Settings — הגדרות

🗺️ Helmert Transform (Old Israel Grid → ITM)

ΔX (m)

ΔY (m)

ΔZ (m)

Scale (k)

Rz (arc-sec)

ℹ️Default parameters from the Israeli Survey of Land Office. Changes apply immediately to all computed coordinates.

📏 Legal Tolerances (תקנות המדידה)

Frontage Tolerance (m)

Closure Tolerance (m)

Display Precision (dp)

Help & Math Reference

📐 Ratz-Nitzav (Right-Angle Offset)

The Offset Method calculates a new point P from a known baseline (P₁→P₂) using a running distance L along the baseline and a perpendicular offset O.

E_p = E₁ + (L/D)·(E₂−E₁) + (O/D)·(N₂−N₁)
N_p = N₁ + (L/D)·(N₂−N₁) − (O/D)·(E₂−E₁)

D = √((E₂−E₁)²+(N₂−N₁)²) — baseline length
L = running distance along baseline
O = offset distance (+positive = right, −negative = left)

📏 Unit Conversions

1 Link = 0.201168 m (Gunter's chain)
1 Cubit (אמה) ≈ 0.555 m
100 Links = 1 chain = 20.1168 m

🌐 Coordinate Systems

Old Israel Grid: Cassini-Soldner projection, Clarke 1880 ellipsoid
ITM (New Grid): Israeli Transverse Mercator, GRS80/WGS84
Transform: Helmert 7-parameter (planar approximation — operational standard)
Default params: dX=−134.758, dY=−802.112, dZ=−45.922

⚖️ Legal Tolerances — תקנות המדידה הישראליות

Frontage adjustment: ±0.10 m (default, configurable in Settings)
Polygon closure: ±0.05 m (default, configurable in Settings)
Corrections exceeding tolerance require field re-measurement.